Quantum non-classicality of single-mode and multi-mode systems is a fundamental property of quantum optics and quantum physics. The quasi-probability functions, which include the Glauber-Sudarshan \(P\) -function [1]}, [2]}, the Sudarshan \(Q\) -function (Husimi) [3]}, and the Wigner function (WF) [4]}, are essential tools in characterizing non-classicality through their negative values. The negativity of the Wigner function distribution is a powerful tool to characterize non-classicality.
